Generalized Sampling and Infinite-Dimensional Compressed Sensing

Project Information

GeSIDiCS

Grant agreement ID: 299566

Project closed

Start date 1 April 2012

End date 31 March 2014

Funded under

• Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)

Total cost € 187 888,20

EU contribution € 187 888,20

Coordinated by

UNIVERSITAT WIEN
Austria

Objective

Sampling theory is one of the mainstays of modern signal processing and encompasses mathematical theory from harmonic analysis, functional analysis, operator theory, approximation theory and computational mathematics. It is a field with a vast amount of applications ranging from medical imaging (Magnetic Resonance Imaging and X-ray Computed Tomography) to sound engineering and image processing.

The key to a successful mathematical sampling theory for use in applications is to have a model that fits the real world scenarios. And the main focus of this proposal is to emphasize the following: Due to the physical models that are the foundation of modern science one can heuristically say (from a signal processing point of view) that the world is analog (continuous-time or infinite-dimensional) whereas computer science is discrete (finite-dimensional). The gap between how we actually model the world and how we can carry out computations on a computer is a fundamental hurdle.

We will in this proposal display and suggest new techniques in sampling theory that will help bridging the gap between the true model and the model used in computations. These techniques stem from recent developments in functional analysis and will ultimately provide tools that allow for improved reconstruction techniques for use in medical imaging, sound engineering and in signal processing in general.

Fields of science (EuroSciVoc)

CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: https://op.europa.eu/en/web/eu-vocabularies/euroscivoc.

• engineering and technology › electrical engineering, electronic engineering, information engineering › electronic engineering › signal processing
• natural sciences › computer and information sciences
• natural sciences › mathematics › pure mathematics › mathematical analysis › functional analysis
• engineering and technology › medical engineering › diagnostic imaging › magnetic resonance imaging

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Programme(s)

• FP7-PEOPLE - Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)

Topic(s)

• FP7-PEOPLE-2011-IEF - Marie-Curie Action: "Intra-European fellowships for career development"

Call for proposal

FP7-PEOPLE-2011-IEF
See other projects for this call

Funding Scheme

MC-IEF - Intra-European Fellowships (IEF)

Coordinator

UNIVERSITAT WIEN

• EU contribution: € 187 888,20
• Address: UNIVERSITATSRING 1 ; 1010 Wien ; Austria
• Region: Ostösterreich › Wien › Wien
• Activity type: Higher or Secondary Education Establishments
• Total cost: No data